math

posted by .

Find the ratio of the volume of the cylinder to the volume of the hemisphere, given that the height,
h, of the cylinder is equal to the diameter, d, of the hemisphere

  • math -

    volume of cyl: pi r^2 h

    but if h = d then h = 2r, so

    pi * r^2 * 2r

    = 2pi * r^3

    Vol of hemisphere = (1/2) volume of sphere:

    = 2/3 pi r^3

    So the ratio is obvious from those results.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. mat 116/algebra

    A cylinder has a radius of 5 in. If the volume of the cylinder is 250Ĉ in.3, what is the height of the cylinder?
  2. math

    Find the ratio of the volume of the cylinder to the volume of the hemisphere, given that the height, h, of the cylinder is equal to the diameter, d, of the hemisphere.
  3. Calc

    A hemisphere of radius 5 sits on a horizontal plane. A cylinder stands with its axis vertical, the center of its base at the center of the sphere, and its top circular rim touching the hemisphere. Find the radius and height of the …
  4. algebra

    a storage bin is shaped like a cylinder with a hemisphere shaped top. the cylinder is 45 inches tall. the volume of the bin is 4131 pi cubic inches. find the radius of the bin. i think [4(pi)r(cubed)]/3=volume of hemisphere and h (pi) …
  5. geometry

    a dog toy is constructed in the shape of a cylinder with a length of 6.8 in. The cylinder has a hemisphere at each end. The diameter is 1-9 in. Find the volume.
  6. Math

    A hemisphere of radius 7 sits on a horizontal plane. A cylinder stands with its axis vertical, the center of its base at the center of the sphere, and its top circular rim touching the hemisphere. Find the radius and height of the …
  7. mathematics

    A can of aerosol deodorant has a cylindrical shape with a hemisphere on top. The diameter of the cylinder is 6cm and the height of the cylinder is 17cm.Calculate the total volume of the can of deodorant?
  8. Maths

    A Hemisphere Bolw Of Diameter 30cm Has The Same Volume As A Cylinder Of Height 22.5cm. Find The Radius Of The Cylinder
  9. Math

    Find the volume of the figure if the radius of the hemisphere and cylinder is 6 inches and the height of the cylinder is 12 inches. Find the volume in terms of pi.
  10. Mathematics

    Given solid object is made up of a hemisphere snd a cyinder.the radius of a hemisphere is equal to the radius of a cylinder.The height of a cylinder is 80 cm and the height of the solid object is 94cm.find the total surface area of …

More Similar Questions